What is the value of the expression? drag and drop the answer into the box to match the expression. 0.3(1/4-1)+0.35

0.125, or 1/8

Step-by-step explanation:

We must evaluate 1/4-1 first, because this is inside parentheses (think:

1/4 - 1 = -3/4.                            order of operations rules (PEMDAS)

Thus, we have:

0.3(-3/4)+0.35 and must carry out the multiplication before the addition:

0.3(-0.75) + 0.35 =

-0.225 + 0.35 = 0.125, or 1/8

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.